Pith Number

pith:BUTU3DVP

pith:2018:BUTU3DVPZ3BVTU46LTZZLC3UI3

not attested not anchored not stored refs pending

A new duality via the Haagerup tensor product

Jason Crann, Mahmood Alaghmandan, Matthias Neufang

arxiv:1805.09323 v1 · 2018-05-23 · math.OA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUTU3DVPZ3BVTU46LTZZLC3UI3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:15:04.371191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d274d8eafcec359d39e5cf3958b7446ceb68befdd60bd0d24abe15575a7f126

Aliases

arxiv: 1805.09323 · arxiv_version: 1805.09323v1 · doi: 10.48550/arxiv.1805.09323 · pith_short_12: BUTU3DVPZ3BV · pith_short_16: BUTU3DVPZ3BVTU46 · pith_short_8: BUTU3DVP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BUTU3DVPZ3BVTU46LTZZLC3UI3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0d274d8eafcec359d39e5cf3958b7446ceb68befdd60bd0d24abe15575a7f126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aafb483ac89e09653459cb2c1b7add14a764cfe2c87e22790b3ed5dbb149576",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-05-23T14:44:50Z",
    "title_canon_sha256": "34ec6c8fa7ef8860cb128a00c71f0ef2aa013014ec5366aa1ca219b604b6f4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09323",
    "kind": "arxiv",
    "version": 1
  }
}